A cartesian mesh algorithm for supersonic flows around arbitrary moving bodies

A Cartesian mesh algorithm is developed for numerical solution of supersonic flows with arbitrarily complex and moving solid boundaries. The method defines and tracks fluid-solid interfaces with a level set function. Fluid-solid boundary condition is dealed with a ghost cell technique and is calculated separately in normal and tangential directions. The method proposed is simple, robust, and can work with high-order finite difference schemes. To validate the scheme, one- and two-dimensional numerical examples involving static or moving boundaries are included.